Carson Elementary And Intermediate Algebra 3e Page 3

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Carson Elementary and Intermediate Algebra 3e

Section 2.3.3

Example 4:

0.5 – (t – 6) = 10.4 – 0.4(1 – t)

There are 4 terms and the LCD is 10. Remember

that there is a 1 in front of the (t – 6).

10(0.5) – 10(1) (t – 6) = 10(10.4) – 10(0.4)(1 – t)

Multiply each term by 10.

5 – 10(t – 6) = 104 – 4(1 – t)

Move decimal one place.

5 – 10t + 60 = 104 – 4 + 4t

Distributive property to remove parentheses. Be

careful to distribute the minus sign correctly!!

-10t + 65 = 100 + 4t

Combine like terms.

-14t + 65 = 100

Subtract 4t from both sides.

-14t = 35

Subtract 65 from both sides.

Divide both sides by -14.

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Always reduce fractions. The answer can be left in

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5 .

either fraction or decimal form.

V Zabrocki 2010

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